159968793600 has 1584 divisors, whose sum is σ = 729855000576. Its totient is φ = 32514048000.

The previous prime is 159968793583. The next prime is 159968793653. The reversal of 159968793600 is 6397869951.

159968793600 is a `hidden beast` number, since 1 + 599 + 6 + 8 + 7 + 9 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1259596737 + ... + 1259596863.

Almost surely, 2^159968793600 is an apocalyptic number.

159968793600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159968793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364927500288).

159968793600 is an abundant number, since it is smaller than the sum of its proper divisors (569886206976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

159968793600 is a wasteful number, since it uses less digits than its factorization.

159968793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 159968793600 in words is "one hundred fifty-nine billion, nine hundred sixty-eight million, seven hundred ninety-three thousand, six hundred".